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Finding the Fourth Proportional to 115.10, 172.37 and 75.89

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Solution

The fourth proportional to 115.10, 172.37 and 75.89 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 172.37 = 75.89 : x
  2. Step 2: Convert to fraction form
    115.10/172.37 = 75.89/x
  3. Step 3: Cross multiply
    115.10x = 172.37 × 75.89
  4. Step 4: Simplify right side
    115.10x = 13,079.92
  5. Step 5: Solve for x
    x = 13,079.92/115.10
  6. Step 6: Final answer
    x = 113.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.